DocumentCode
247869
Title
Evaluation of hypersingular volume integrals over a cylindrical domain in meshless methods
Author
Wang, Peng Cheng ; Zhou, Z.G. ; Hong, J.X. ; Tong, Mei Song ; Miron, D.B.
Author_Institution
Dept. of Electron. Sci. & Technol., Tongji Univ., Shanghai, China
fYear
2014
fDate
6-11 July 2014
Firstpage
2036
Lastpage
2037
Abstract
In the meshless scheme for solving volume integral equations (VIEs), one needs to evaluate hypersingular integrals over a small cylindrical domain excluded from the whole domain for the sake of regularizing integrands. Those integrals can be evaluated semi-numerically but the implementation may not be convenient. In this work, we present some new formulas which are purely analytical for those integrals so that their evaluation can be greatly simplified. A numerical example for electromagnetic (EM) scattering is presented to demonstrate the new formulas.
Keywords
electromagnetic wave scattering; integral equations; mesh generation; cylindrical domain; electromagnetic scattering; hypersingular volume integrals; meshless methods; volume integral equations; Dielectrics; Electromagnetic scattering; Electromagnetics; Green´s function methods; Integral equations; Permittivity;
fLanguage
English
Publisher
ieee
Conference_Titel
Antennas and Propagation Society International Symposium (APSURSI), 2014 IEEE
Conference_Location
Memphis, TN
ISSN
1522-3965
Print_ISBN
978-1-4799-3538-3
Type
conf
DOI
10.1109/APS.2014.6905345
Filename
6905345
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